The secret to crafting unique jewelry lies in the science of chaos

Chaos theory deals with complex systems, that is, those in which there is more than one variable on which the outcome of the problem depends. Experiment – did experiments. Life itself rules it chaosand any everyday situation is the best example. We may lock the door to the house, but when we leave and turn the key for the first time, we realize we’ve left our gloves on. Opening, gloving and closing can take 20 seconds, but at that moment the neighbor may have taken elevator. a) yes, That 20-second delay becomes two minutes This metaphor usually ends with the poor man who left his gloves when he was fired from work, because the delay in the elevator leads to You encounter a traffic jam and the delay becomes more than an hour. In this article we will be more lenient and we will think that once you leave the street, The wind causes a 50-euro bill to fall to his foot, which would not have been there without two minutes.

Life is a mess

Another example of a commonly used chaos theory is the parable Chinesewhich states that the wings of a Butterfly It can be felt on the other side of the planet. No matter which example the reader chooses, what matters is the message. You can’t predict what will happen to complex systems if you let them run long enough. A very illustrative definition of what chaos is was formulated by the late mathematician and meteorologist Edward Lorenz, and it can be translated as follows:

But you don’t have to find complex examples like life, the weather, or the fly over breakfast to not know the outcome. fact system appears basiclike the motion of a pendulum suspended on another pendulum, becomes a chaotic system after it is given energy enough. This means that if we take the ball suspended from the first and take it to a certain height, when we release it we will be able to approximate the movement in the first few seconds, but not much more than that, because any slight difference that will occur means a lot of change in the long run.

Long exposure photo of motion described by a double pendulum system. Photo: George Iunidis CC BY 3.0

Chaos made a gem

To study chaotic systems accurately, easily controllable objects such as Chua’s circle can be used. It is an electronic circuit that behaves in a chaotic manner and is considered the first physical, mathematical and experimental evidence for chaos. The result of this circuit is some Vibrations in the form of a double vortex never pass from the same place. The applications of this circuit are mainly in laboratories that need to create complex signals, to create secure communication channels, or even to create alternative music, taking advantage of the fact that its pattern is always unique.

But having to touch on the mess, some researchers from the University of Calabria in Chaos, from AIP Publishing, have published, How to turn the fractal and twisted structures of these waves into gems using 3D printing. Thus, the researchers intend to unite science and art in a strange way. As writer Eleonora Bellotta explains: “These chaotic formations, Called exotic attractants, they are complex structures that have not been observed before. Representations of such structures are breathtakingly beautiful, constantly changing when the view changes. This is why jewelry seemed to them the best way to interpret the beauty of chaotic shapes.

The beauty of chaos and science

One possible use for this jewelry is as an educational tool, because it allows students to develop both scientific interest and creativity. Manipulating the initial conditions of the Chua circuit They can manipulate the mess to some extent and create jewelry with different styles, But unless they offer exactly the same terms, Each piece of jewelry will be unique. Also, in the future, the authors want to explore representations of chaos using spheres and plotting to create images of chaotic patterns. Finally, they developed a scientific cultural exhibit that could be adapted to international museums.

Do not get it

It is important not to confuse a messy process with a very complex one. For example, income tax return is a complex process with many steps, but if we understand all of them, we can know if we are going to make a payment or a return and how much. If advertising is a messy process, we will never know the outcome until we open the envelope or look at the website.